Mathway | Recent Popular Problems

Recent Popular Problems

Rank	Topic	Problem	Formatted Problem
19301	Find the Antiderivative	f(x)=(3x+2)^4-1/(x^6)	$f (x) = {(3 x + 2)}^{4} - \frac{1}{x^{6}}$
19302	Simplify	cube root of (3x^2)/(16y)	$\sqrt[3]{\frac{3 x^{2}}{16 y}}$
19303	Multiply	(4x)/(8x+8)*(x^2+8x+7)/(8x^3)	$\frac{4 x}{8 x + 8} \cdot \frac{x^{2} + 8 x + 7}{8 x^{3}}$
19304	Find the Exact Value	sin(arcsin(-5/4))	$\sin (\arcsin (- \frac{5}{4}))$
19305	Solve for x	9/10+2/(x+1)=2/x	$\frac{9}{10} + \frac{2}{x + 1} = \frac{2}{x}$
19306	Solve for x	cube root of 2x+3+5=0	$\sqrt[3]{2 x + 3 + 5} = 0$
19307	Simplify	(7x+9)/(9x-7)+(9x)/(9x-7)	$\frac{7 x + 9}{9 x - 7} + \frac{9 x}{9 x - 7}$
19308	Multiply	10^24	$10^{24}$
19309	Graph	y=2+ square root of -x	$y = 2 + \sqrt{- x}$
19310	Solve for x	1/(z(x+3))-3/(2x)=1/(x+3)	$\frac{1}{z (x + 3)} - \frac{3}{2 x} = \frac{1}{x + 3}$
19311	Graph	y=4-7/2 square root of x-1	$y = 4 - \frac{7}{2} \sqrt{x - 1}$
19312	Find the Absolute Max and Min over the Interval	-3+4i	$- 3 + 4 i$
19313	Evaluate	3(x-4)=2(-2x+1)	$3 (x - 4) = 2 (- 2 x + 1)$
19314	Integrate Using u-Substitution	integral of x^2 square root of x^3+1 with respect to x , u=x^3+1	$\int x^{2} \sqrt{x^{3} + 1} d x$ , $u = x^{3} + 1$
19315	Graph	y<=3x-4 and y>=-5x+2	$y \leq 3 x - 4$ and $y \geq - 5 x + 2$
19316	Solve the Inequality for x	(x-3)(x-2)^2>0	$(x - 3) {(x - 2)}^{2} > 0$
19317	Simplify the Radical Expression	(20 square root of 270)/(4 square root of 3)	$\frac{20 \sqrt{270}}{4 \sqrt{3}}$
19318	Divide Using Long Polynomial Division	(24k^3+2k^2+24k)÷6	$(24 k^{3} + 2 k^{2} + 24 k) \div 6$
19319	Find the Antiderivative	e/x	$\frac{e}{x}$
19320	Simplify	(-(5f^9g^4h^2)/(fg^2h^3))^0	${(- \frac{5 f^{9} g^{4} h^{2}}{f g^{2} h^{3}})}^{0}$
19321	Solve the Inequality for x	\|x+2\|+5<=4	$\| x + 2 \| + 5 \leq 4$
19322	Simplify	( square root of 32x^2y)( square root of 50xy^5)	$(\sqrt{32 x^{2} y}) (\sqrt{50 x y^{5}})$
19323	Simplify	(6^-3*6^-6)^-5	${(6^{- 3} \cdot 6^{- 6})}^{- 5}$
19324	Simplify	(5y+1)^2-(3y+4)(2-3y)	${(5 y + 1)}^{2} - (3 y + 4) (2 - 3 y)$
19325	Find the Product	2n(n^2+3n+4)	$2 n (n^{2} + 3 n + 4)$
19326	Simplify	(x+3)/(5x+20)*(x^2+3x+2)/(x^2+5x+6)	$\frac{x + 3}{5 x + 20} \cdot \frac{x^{2} + 3 x + 2}{x^{2} + 5 x + 6}$
19327	Simplify	(xy)^2(x^2y^2)^2	${(x y)}^{2} {(x^{2} y^{2})}^{2}$
19328	Simplify	((6x^2)/5)÷((5x^3)/6)	$\frac{6 x^{2}}{5} \div \frac{5 x^{3}}{6}$
19329	Simplify	-(42 square root of 30)/(12 square root of 10)	$- \frac{42 \sqrt{30}}{12 \sqrt{10}}$
19330	Integrate Using u-Substitution	integral of 3/((3-2x)^2) with respect to x	$\int \frac{3}{{(3 - 2 x)}^{2}} d x$
19331	Solve for x	7/(8x)-3/5=3	$\frac{7}{8 x} - \frac{3}{5} = 3$
19332	Factor	3b^3-7ab^2+12ab-28a^2	$3 b^{3} - 7 a b^{2} + 12 a b - 28 a^{2}$
19333	Find the Cosecant Given the Point	(1/5,-(2 square root of 6)/5)	$(\frac{1}{5}, - \frac{2 \sqrt{6}}{5})$
19334	Simplify the Radical Expression	(11 square root of 12)/(2 square root of 7)	$\frac{11 \sqrt{12}}{2 \sqrt{7}}$
19335	Simplify	(5x^2y)/(2x^-1y^3)	$\frac{5 x^{2} y}{2 x^{- 1} y^{3}}$
19336	Find the Product	(2ab)^3	${(2 a b)}^{3}$
19337	Graph	1/(f(x))	$\frac{1}{f (x)}$
19338	Simplify	(8/27)^(2/3)*(3/2)^2	${(\frac{8}{27})}^{\frac{2}{3}} \cdot {(\frac{3}{2})}^{2}$
19339	Simplify	square root of (2p^2d^3)/(5q^3)	$\sqrt{\frac{2 p^{2} d^{3}}{5 q^{3}}}$
19340	Graph	f(x)> = square root of x+4	$f (x) \geq \sqrt{x} + 4$
19341	Factor	12jk^2+6j^2k+2j^2k^2	$12 j k^{2} + 6 j^{2} k + 2 j^{2} k^{2}$
19342	Find the Asymptotes	f(x)=(2x^4-2x+13)/(3x^2-4x+pi)	$f (x) = \frac{2 x^{4} - 2 x + 13}{3 x^{2} - 4 x + π}$
19343	Solve for x	square root of 3x+1+ square root of 5-x=4	$\sqrt{3 x + 1} + \sqrt{5 - x} = 4$
19344	Find the Antiderivative	e^(2x)+1	$e^{2 x} + 1$
19345	Evaluate	8/(a-4)+(2a)/(4-a)	$\frac{8}{a - 4} + \frac{2 a}{4 - a}$
19346	Find the Cotangent Given the Point	(-1/5,(2 square root of 6)/5)	$(- \frac{1}{5}, \frac{2 \sqrt{6}}{5})$
19347	Simplify	(xy+3x-4y-12)/(2xy+4x-8y-16)	$\frac{x y + 3 x - 4 y - 12}{2 x y + 4 x - 8 y - 16}$
19348	Solve the Rational Equation for x	(x^2-29)/(x^2-10x+21)=6/(x-7)+5/(x-3)	$\frac{x^{2} - 29}{x^{2} - 10 x + 21} = \frac{6}{x - 7} + \frac{5}{x - 3}$
19349	Simplify	(2x^2-3x+4)+(2-4x-2x^2-x^3)	$(2 x^{2} - 3 x + 4) + (2 - 4 x - 2 x^{2} - x^{3})$
19350	Solve for y	y^4=400	$y^{4} = 400$
19351	Find the Derivative - d/dx	(x-6)/(4x)	$\frac{x - 6}{4 x}$
19352	Factor by Grouping	x^2(x-5)+3(x-5)	$x^{2} (x - 5) + 3 (x - 5)$
19353	Multiply	6x^5(2x^6+4x^5-7x^3+3x)	$6 x^{5} (2 x^{6} + 4 x^{5} - 7 x^{3} + 3 x)$
19354	Factor by Grouping	4y^3+y+12y^2+3	$4 y^{3} + y + 12 y^{2} + 3$
19355	Graph	y=-2/3x+2 y=-2	$y = - \frac{2}{3} x + 2$ $y = - 2$
19356	Find the Concavity	f(x)=arctan(x^2)	$f (x) = \arctan (x^{2})$
19357	Solve for z	0 = cube root of 2(462)+z-12	$0 = \sqrt[3]{2 (462) + z} - 12$
19358	Find Amplitude, Period, and Phase Shift	y=2cos(4x+pi)-3	$y = 2 \cos (4 x + π) - 3$
19359	Multiply	(x^2+y)(x+y^2)	$(x^{2} + y) (x + y^{2})$
19360	Simplify	(3/(32^(2/5)))^(1/2)	${(\frac{3}{32^{\frac{2}{5}}})}^{\frac{1}{2}}$
19361	Simplify	( square root of 3xy)/( square root of 8x^7y)	$\frac{\sqrt{3 x y}}{\sqrt{8 x^{7} y}}$
19362	Simplify	((5a^-3b^3)(4a^4))^0	${((5 a^{- 3} b^{3}) (4 a^{4}))}^{0}$
19363	Graph	2 or x>7	$2$ or $x > 7$
19364	Simplify	5/4-(b+3)/(b-2)	$\frac{5}{4} - \frac{b + 3}{b - 2}$
19365	Simplify the Radical Expression	3 fourth root of 27x^3*2 fourth root of 3x^5	$3 \sqrt[4]{27 x^{3}} \cdot 2 \sqrt[4]{3 x^{5}}$
19366	Evaluate Using L'Hospital's Rule	limit as x approaches 0 of (cos(3x)-1)/(e^(-x)-1)	$lim_{x \to 0} \frac{\cos (3 x) - 1}{e^{- x} - 1}$
19367	Find the Antiderivative	(2x-1)e^x	$(2 x - 1) e^{x}$
19368	Integrate Using u-Substitution	integral of 1/(1+x^2) with respect to x	$\int \frac{1}{1 + x^{2}} d x$
19369	Find the Third Derivative	f(x)=5/8x^-2+4/3x^3+2/3x^4+1/10x^-3	$f (x) = \frac{5}{8} x^{- 2} + \frac{4}{3} x^{3} + \frac{2}{3} x^{4} + \frac{1}{10} x^{- 3}$
19370	Simplify	(19-7)÷4+11	$(19 - 7) \div 4 + 11$
19371	Simplify	4(x+2x^2)	$4 (x + 2 x^{2})$
19372	Multiply	3a(2+5b)	$3 a (2 + 5 b)$
19373	Simplify	(27p^6)^(5/5)	${(27 p^{6})}^{\frac{5}{5}}$
19374	Evaluate	(x^0y^2)^3	${(x^{0} y^{2})}^{3}$
19375	Simplify	((x+y)^-2)^2	${({(x + y)}^{- 2})}^{2}$
19376	Find the Derivative - d/dx	4x^2e^(-x^2)-2e^(-x^2)	$4 x^{2} e^{- x^{2}} - 2 e^{- x^{2}}$
19377	Evaluate	square root of 2sin((3pi)/8)cos((3pi)/8)	$\sqrt{2} \sin (\frac{3 π}{8}) \cos (\frac{3 π}{8})$
19378	Add	(2x+1)/(x-2)+(x-3)/(x^2+2x-8)	$\frac{2 x + 1}{x - 2} + \frac{x - 3}{x^{2} + 2 x - 8}$
19379	Divide	(2x^3-10x^2+x-5)÷(x-5)	$(2 x^{3} - 10 x^{2} + x - 5) \div (x - 5)$
19380	Simplify	(2+3i)(1+(-4i))	$(2 + 3 i) (1 + (- 4 i))$
19381	Find dy/dx	y^3+4x^2+1=-5x-3y	$y^{3} + 4 x^{2} + 1 = - 5 x - 3 y$
19382	Simplify	-6(-6x-3)+3x(x-5)	$- 6 (- 6 x - 3) + 3 x (x - 5)$
19383	Convert to Radical Form	(ab)1/2	$(a b) \frac{1}{2}$
19384	Solve the System of Equations	y=-x^2+49 2x+y=1	$y = - x^{2} + 49$ $2 x + y = 1$
19385	Find the Hyperbola Given the Vertices and Foci	vertices at (6,0) , (-6,0) ; foci at (8,0) , (-8,0)	vertices at $(6, 0)$ , $(- 6, 0)$ ; foci at $(8, 0)$ , $(- 8, 0)$
19386	Simplify	(5x-15)/(4x^2)*(x^3)/(6x-18)	$\frac{5 x - 15}{4 x^{2}} \cdot \frac{x^{3}}{6 x - 18}$
19387	Evaluate	2(5v+6)-6(-9v+2)	$2 (5 v + 6) - 6 (- 9 v + 2)$
19388	Solve for x	(x^2+3)/(x^2+1)=2	$\frac{x^{2} + 3}{x^{2} + 1} = 2$
19389	Simplify	2/(-2 square root of 3)	$\frac{2}{- 2 \sqrt{3}}$
19390	Solve the Inequality for x	-1/2x^2+4x<=1	$- \frac{1}{2} x^{2} + 4 x \leq 1$
19391	Evaluate	(3* square root of 5)^2	${(3 \cdot \sqrt{5})}^{2}$
19392	Simplify	3cd(2c^12d^15)^3	$3 c d {(2 c^{12} d^{15})}^{3}$
19393	Simplify	3tan(x)cos(x)cot(x)	$3 \tan (x) \cos (x) \cot (x)$
19394	Solve for x	xy+3y=0	$x y + 3 y = 0$
19395	Find the Derivative - d/dx	(x^2-x-11)/(e^x)	$\frac{x^{2} - x - 11}{e^{x}}$
19396	Simplify	- square root of 2( square root of 8+ square root of 32)	$- \sqrt{2} (\sqrt{8} + \sqrt{32})$
19397	Divide Using Synthetic Division	Use synthetic division to find the result when 2x^4+11x^3+11x^2-15x-18 is divided by x+2	Use synthetic division to find the result when $2 x^{4} + 11 x^{3} + 11 x^{2} - 15 x - 18$ is divided by $x + 2$
19398	Evaluate	1/2(5)^2pi/2	$\frac{1}{2} {(5)}^{2} \frac{π}{2}$
19399	Solve for x	x/6=(3x)/4	$\frac{x}{6} = \frac{3 x}{4}$
19400	Find the Domain	(5x(x-y))/(x^3(y-x))	$\frac{5 x (x - y)}{x^{3} (y - x)}$